Applying congruency and/or similarity to solve problems

State the postulate that proves these triangles are similar.

• SSS~
• SAS~
• AA~
• Not similar, b/c ratios are not equal

The 2 shapes are similar. Find missing side

• 5

• 7

• 9

• 11

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA~

• SAS~

• SSS~

• Not Similar

REVIEW:
Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Using a proportion, find the height of the tree.

• x = 0.0625 ft.

• 1.6 feet

• x = 16 ft.

State if the triangles are similar by SAS.

• Yes, SAS Similarity

• Similar but not SAS

• Not Similar

Can you prove the triangles similar by SSS Theorem?

• Yes--the sides are all proportional.

• No--there is not enough information provided for SSS

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta RST\sim\Delta RHG$ by $SAS\sim$

• $\Delta RST\sim\Delta RHG$ by $SSS\sim$

• $\Delta RST\sim\Delta GHR$ by $SAS\sim$

• $\Delta RST\sim\Delta RGH$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

A 25-foot flagpole casts a shadow that is 37.5 feet long. A man standing near the flagpole is 6 feet tall. At the same time of day, how long is his shadow?

• 4 ft

• 9 ft

• 12 ft

• 15 ft

solve for X.

• 29.7

• 30

• 24

• 37.5